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Simplifying -3v + 7 = 4(v + 7) Reorder the terms: 7 + -3v = 4(v + 7) Reorder the terms: 7 + -3v = 4(7 + v) 7 + -3v = (7 * 4 + v * 4) 7 + -3v = (28 + 4v) Solving 7 + -3v = 28 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 7 + -3v + -4v = 28 + 4v + -4v Combine like terms: -3v + -4v = -7v 7 + -7v = 28 + 4v + -4v Combine like terms: 4v + -4v = 0 7 + -7v = 28 + 0 7 + -7v = 28 Add '-7' to each side of the equation. 7 + -7 + -7v = 28 + -7 Combine like terms: 7 + -7 = 0 0 + -7v = 28 + -7 -7v = 28 + -7 Combine like terms: 28 + -7 = 21 -7v = 21 Divide each side by '-7'. v = -3 Simplifying v = -3
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